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<div class="title">TensorUInt128.h</div>  </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">// This file is part of Eigen, a lightweight C++ template library</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment">// for linear algebra.</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">// Copyright (C) 2015 Benoit Steiner &lt;benoit.steiner.goog@gmail.com&gt;</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">// This Source Code Form is subject to the terms of the Mozilla</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment">// Public License v. 2.0. If a copy of the MPL was not distributed</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160; </div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#ifndef EIGEN_CXX11_TENSOR_TENSOR_UINT128_H</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#define EIGEN_CXX11_TENSOR_TENSOR_UINT128_H</span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160; </div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &quot;./InternalHeaderCheck.h&quot;</span></div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160; </div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespaceEigen.html">Eigen</a> {</div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="keyword">namespace </span>internal {</div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160; </div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160; </div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="keyword">template</span> &lt;u<span class="keywordtype">int</span>64_t n&gt;</div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="keyword">struct </span>static_val {</div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;  <span class="keyword">static</span> <span class="keyword">const</span> uint64_t value = n;</div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;  EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE <span class="keyword">operator</span> uint64_t()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> n; }</div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160; </div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;  EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE static_val() { }</div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160; </div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;  EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE static_val(<span class="keyword">const</span> T&amp; v) {</div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    EIGEN_UNUSED_VARIABLE(v);</div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;    eigen_assert(v == n);</div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;  }</div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;};</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160; </div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160; </div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> HIGH = u<span class="keywordtype">int</span>64_t, <span class="keyword">typename</span> LOW = u<span class="keywordtype">int</span>64_t&gt;</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="keyword">struct </span>TensorUInt128</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;{</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;  HIGH high;</div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;  LOW low;</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160; </div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> OTHER_HIGH, <span class="keyword">typename</span> OTHER_LOW&gt;</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;  EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE</div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;  TensorUInt128(<span class="keyword">const</span> TensorUInt128&lt;OTHER_HIGH, OTHER_LOW&gt;&amp; other) : high(other.high), low(other.low) {</div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;    EIGEN_STATIC_ASSERT(<span class="keyword">sizeof</span>(OTHER_HIGH) &lt;= <span class="keyword">sizeof</span>(HIGH), YOU_MADE_A_PROGRAMMING_MISTAKE);</div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;    EIGEN_STATIC_ASSERT(<span class="keyword">sizeof</span>(OTHER_LOW) &lt;= <span class="keyword">sizeof</span>(LOW), YOU_MADE_A_PROGRAMMING_MISTAKE);</div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;  }</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160; </div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> OTHER_HIGH, <span class="keyword">typename</span> OTHER_LOW&gt;</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;  EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;  TensorUInt128&amp; operator = (<span class="keyword">const</span> TensorUInt128&lt;OTHER_HIGH, OTHER_LOW&gt;&amp; other) {</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;    EIGEN_STATIC_ASSERT(<span class="keyword">sizeof</span>(OTHER_HIGH) &lt;= <span class="keyword">sizeof</span>(HIGH), YOU_MADE_A_PROGRAMMING_MISTAKE);</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;    EIGEN_STATIC_ASSERT(<span class="keyword">sizeof</span>(OTHER_LOW) &lt;= <span class="keyword">sizeof</span>(LOW), YOU_MADE_A_PROGRAMMING_MISTAKE);</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;    high = other.high;</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;    low = other.low;</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;    <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;  }</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160; </div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;  EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;  <span class="keyword">explicit</span> TensorUInt128(<span class="keyword">const</span> T&amp; x) : high(0), low(x) {</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;    eigen_assert((<span class="keyword">static_cast&lt;</span>std::conditional_t&lt;sizeof(T) == 8, uint64_t, uint32_t<span class="keyword">&gt;</span>&gt;(x) &lt;= NumTraits&lt;uint64_t&gt;::highest()));</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;    eigen_assert(x &gt;= 0);</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;  }</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160; </div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;  EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;  TensorUInt128(HIGH y, LOW x) : high(y), low(x) { }</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160; </div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;  EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE <span class="keyword">operator</span> LOW()<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;    <span class="keywordflow">return</span> low;</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;  }</div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;  EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE LOW lower()<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;    <span class="keywordflow">return</span> low;</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;  }</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;  EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE HIGH upper()<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;    <span class="keywordflow">return</span> high;</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;  }</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;};</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160; </div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160; </div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> HL, <span class="keyword">typename</span> LL, <span class="keyword">typename</span> HR, <span class="keyword">typename</span> LR&gt;</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;<span class="keywordtype">bool</span> operator == (<span class="keyword">const</span> TensorUInt128&lt;HL, LL&gt;&amp; lhs, <span class="keyword">const</span> TensorUInt128&lt;HR, LR&gt;&amp; rhs)</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;{</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;  <span class="keywordflow">return</span> (lhs.high == rhs.high) &amp;&amp; (lhs.low == rhs.low);</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;}</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160; </div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> HL, <span class="keyword">typename</span> LL, <span class="keyword">typename</span> HR, <span class="keyword">typename</span> LR&gt;</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;<span class="keywordtype">bool</span> operator != (<span class="keyword">const</span> TensorUInt128&lt;HL, LL&gt;&amp; lhs, <span class="keyword">const</span> TensorUInt128&lt;HR, LR&gt;&amp; rhs)</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;{</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;  <span class="keywordflow">return</span> (lhs.high != rhs.high) || (lhs.low != rhs.low);</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;}</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160; </div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> HL, <span class="keyword">typename</span> LL, <span class="keyword">typename</span> HR, <span class="keyword">typename</span> LR&gt;</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;<span class="keywordtype">bool</span> operator &gt;= (<span class="keyword">const</span> TensorUInt128&lt;HL, LL&gt;&amp; lhs, <span class="keyword">const</span> TensorUInt128&lt;HR, LR&gt;&amp; rhs)</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;{</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;  <span class="keywordflow">if</span> (lhs.high != rhs.high) {</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;    <span class="keywordflow">return</span> lhs.high &gt; rhs.high;</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;  }</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;  <span class="keywordflow">return</span> lhs.low &gt;= rhs.low;</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;}</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160; </div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> HL, <span class="keyword">typename</span> LL, <span class="keyword">typename</span> HR, <span class="keyword">typename</span> LR&gt;</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;<span class="keywordtype">bool</span> operator &lt; (<span class="keyword">const</span> TensorUInt128&lt;HL, LL&gt;&amp; lhs, <span class="keyword">const</span> TensorUInt128&lt;HR, LR&gt;&amp; rhs)</div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;{</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;  <span class="keywordflow">if</span> (lhs.high != rhs.high) {</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;    <span class="keywordflow">return</span> lhs.high &lt; rhs.high;</div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;  }</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;  <span class="keywordflow">return</span> lhs.low &lt; rhs.low;</div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;}</div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160; </div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> HL, <span class="keyword">typename</span> LL, <span class="keyword">typename</span> HR, <span class="keyword">typename</span> LR&gt;</div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE</div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;TensorUInt128&lt;uint64_t, uint64_t&gt; operator + (<span class="keyword">const</span> TensorUInt128&lt;HL, LL&gt;&amp; lhs, <span class="keyword">const</span> TensorUInt128&lt;HR, LR&gt;&amp; rhs)</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;{</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;  TensorUInt128&lt;uint64_t, uint64_t&gt; result(lhs.high + rhs.high, lhs.low + rhs.low);</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;  <span class="keywordflow">if</span> (result.low &lt; rhs.low) {</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;    result.high += 1;</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;  }</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;  <span class="keywordflow">return</span> result;</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;}</div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160; </div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> HL, <span class="keyword">typename</span> LL, <span class="keyword">typename</span> HR, <span class="keyword">typename</span> LR&gt;</div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE</div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;TensorUInt128&lt;uint64_t, uint64_t&gt; operator - (<span class="keyword">const</span> TensorUInt128&lt;HL, LL&gt;&amp; lhs, <span class="keyword">const</span> TensorUInt128&lt;HR, LR&gt;&amp; rhs)</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;{</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;  TensorUInt128&lt;uint64_t, uint64_t&gt; result(lhs.high - rhs.high, lhs.low - rhs.low);</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;  <span class="keywordflow">if</span> (result.low &gt; lhs.low) {</div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;    result.high -= 1;</div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;  }</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;  <span class="keywordflow">return</span> result;</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;}</div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160; </div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160; </div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> HL, <span class="keyword">typename</span> LL, <span class="keyword">typename</span> HR, <span class="keyword">typename</span> LR&gt;</div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;<span class="keyword">static</span> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE</div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;TensorUInt128&lt;uint64_t, uint64_t&gt; <a class="codeRef" href="../namespaceEigen.html#ad225313de8037d40c2d26c17edf1a9fd">operator * </a>(<span class="keyword">const</span> TensorUInt128&lt;HL, LL&gt;&amp; lhs, <span class="keyword">const</span> TensorUInt128&lt;HR, LR&gt;&amp; rhs)</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;{</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;  <span class="comment">// Split each 128-bit integer into 4 32-bit integers, and then do the</span></div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;  <span class="comment">// multiplications by hand as follow:</span></div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;  <span class="comment">//   lhs      a  b  c  d</span></div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;  <span class="comment">//   rhs      e  f  g  h</span></div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;  <span class="comment">//           -----------</span></div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;  <span class="comment">//           ah bh ch dh</span></div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;  <span class="comment">//           bg cg dg</span></div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;  <span class="comment">//           cf df</span></div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;  <span class="comment">//           de</span></div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;  <span class="comment">// The result is stored in 2 64bit integers, high and low.</span></div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160; </div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;  <span class="keyword">const</span> uint64_t LOW = 0x00000000FFFFFFFFLL;</div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;  <span class="keyword">const</span> uint64_t HIGH = 0xFFFFFFFF00000000LL;</div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160; </div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;  uint64_t d = lhs.low &amp; LOW;</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;  uint64_t c = (lhs.low &amp; HIGH) &gt;&gt; 32LL;</div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;  uint64_t b = lhs.high &amp; LOW;</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;  uint64_t a = (lhs.high &amp; HIGH) &gt;&gt; 32LL;</div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160; </div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;  uint64_t h = rhs.low &amp; LOW;</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;  uint64_t g = (rhs.low &amp; HIGH) &gt;&gt; 32LL;</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;  uint64_t f = rhs.high &amp; LOW;</div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;  uint64_t e = (rhs.high &amp; HIGH) &gt;&gt; 32LL;</div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160; </div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;  <span class="comment">// Compute the low 32 bits of low</span></div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;  uint64_t acc = d * h;</div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;  uint64_t low = acc &amp; LOW;</div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;  <span class="comment">//  Compute the high 32 bits of low. Add a carry every time we wrap around</span></div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;  acc &gt;&gt;= 32LL;</div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;  uint64_t carry = 0;</div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;  uint64_t acc2 = acc + c * h;</div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;  <span class="keywordflow">if</span> (acc2 &lt; acc) {</div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;    carry++;</div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;  }</div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;  acc = acc2 + d * g;</div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;  <span class="keywordflow">if</span> (acc &lt; acc2) {</div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;    carry++;</div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;  }</div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;  low |= (acc &lt;&lt; 32LL);</div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160; </div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;  <span class="comment">// Carry forward the high bits of acc to initiate the computation of the</span></div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;  <span class="comment">// low 32 bits of high</span></div>
<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;  acc2 = (acc &gt;&gt; 32LL) | (carry &lt;&lt; 32LL);</div>
<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;  carry = 0;</div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160; </div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;  acc = acc2 + b * h;</div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;  <span class="keywordflow">if</span> (acc &lt; acc2) {</div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;    carry++;</div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;  }</div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;  acc2 = acc + c * g;</div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;  <span class="keywordflow">if</span> (acc2 &lt; acc) {</div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;    carry++;</div>
<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;  }</div>
<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;  acc = acc2 + d * f;</div>
<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;  <span class="keywordflow">if</span> (acc &lt; acc2) {</div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;    carry++;</div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;  }</div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;  uint64_t high = acc &amp; LOW;</div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160; </div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;  <span class="comment">// Start to compute the high 32 bits of high.</span></div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;  acc2 = (acc &gt;&gt; 32LL) | (carry &lt;&lt; 32LL);</div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160; </div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;  acc = acc2 + a * h;</div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;  acc2 = acc + b * g;</div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;  acc = acc2 + c * f;</div>
<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;  acc2 = acc + d * e;</div>
<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;  high |= (acc2 &lt;&lt; 32LL);</div>
<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160; </div>
<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;  <span class="keywordflow">return</span> TensorUInt128&lt;uint64_t, uint64_t&gt;(high, low);</div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;}</div>
<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160; </div>
<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> HL, <span class="keyword">typename</span> LL, <span class="keyword">typename</span> HR, <span class="keyword">typename</span> LR&gt;</div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;<span class="keyword">static</span> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE</div>
<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;TensorUInt128&lt;uint64_t, uint64_t&gt; operator / (<span class="keyword">const</span> TensorUInt128&lt;HL, LL&gt;&amp; lhs, <span class="keyword">const</span> TensorUInt128&lt;HR, LR&gt;&amp; rhs)</div>
<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;{</div>
<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;  <span class="keywordflow">if</span> (rhs == TensorUInt128&lt;static_val&lt;0&gt;, static_val&lt;1&gt; &gt;(1)) {</div>
<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;    <span class="keywordflow">return</span> TensorUInt128&lt;uint64_t, uint64_t&gt;(lhs.high, lhs.low);</div>
<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (lhs &lt; rhs) {</div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;    <span class="keywordflow">return</span> TensorUInt128&lt;uint64_t, uint64_t&gt;(0);</div>
<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;  } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;    <span class="comment">// calculate the biggest power of 2 times rhs that&#39;s less than or equal to lhs</span></div>
<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;    TensorUInt128&lt;uint64_t, uint64_t&gt; power2(1);</div>
<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;    TensorUInt128&lt;uint64_t, uint64_t&gt; d(rhs);</div>
<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;    TensorUInt128&lt;uint64_t, uint64_t&gt; tmp(lhs - d);</div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;    <span class="keywordflow">while</span> (lhs &gt;= d) {</div>
<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;      tmp = tmp - d;</div>
<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;      d = d + d;</div>
<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;      power2 = power2 + power2;</div>
<div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;    }</div>
<div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160; </div>
<div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160;    tmp = TensorUInt128&lt;uint64_t, uint64_t&gt;(lhs.high, lhs.low);</div>
<div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;    TensorUInt128&lt;uint64_t, uint64_t&gt; result(0);</div>
<div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;    <span class="keywordflow">while</span> (power2 != TensorUInt128&lt;static_val&lt;0&gt;, static_val&lt;0&gt; &gt;(0)) {</div>
<div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;      <span class="keywordflow">if</span> (tmp &gt;= d) {</div>
<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;        tmp = tmp - d;</div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;        result = result + power2;</div>
<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;      }</div>
<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;      <span class="comment">// Shift right</span></div>
<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;      power2 = TensorUInt128&lt;uint64_t, uint64_t&gt;(power2.high &gt;&gt; 1, (power2.low &gt;&gt; 1) | (power2.high &lt;&lt; 63));</div>
<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;      d = TensorUInt128&lt;uint64_t, uint64_t&gt;(d.high &gt;&gt; 1, (d.low &gt;&gt; 1) | (d.high &lt;&lt; 63));</div>
<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;    }</div>
<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160; </div>
<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;    <span class="keywordflow">return</span> result;</div>
<div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;  }</div>
<div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;}</div>
<div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160; </div>
<div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160; </div>
<div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;}  <span class="comment">// namespace internal</span></div>
<div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;}  <span class="comment">// namespace Eigen</span></div>
<div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160; </div>
<div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160; </div>
<div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;<span class="preprocessor">#endif  </span><span class="comment">// EIGEN_CXX11_TENSOR_TENSOR_UINT128_H</span></div>
<div class="ttc" id="anamespaceEigen_html"><div class="ttname"><a href="namespaceEigen.html">Eigen</a></div><div class="ttdoc">Namespace containing all symbols from the Eigen library.</div></div>
<div class="ttc" id="anamespaceEigen_html_ad225313de8037d40c2d26c17edf1a9fd"><div class="ttname"><a href="../namespaceEigen.html#ad225313de8037d40c2d26c17edf1a9fd">Eigen::operator*</a></div><div class="ttdeci">const Product&lt; Inverse&lt; PermutationType &gt;, SparseDerived, AliasFreeProduct &gt; operator*(const InverseImpl&lt; PermutationType, PermutationStorage &gt; &amp;tperm, const SparseMatrixBase&lt; SparseDerived &gt; &amp;matrix)</div></div>
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